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» (k, )-Distance-Hereditary Graphs
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WPES
2006
ACM
15 years 3 months ago
Private social network analysis: how to assemble pieces of a graph privately
Connections in distributed systems, such as social networks, online communities or peer-to-peer networks, form complex graphs. These graphs are of interest to scientists in field...
Keith B. Frikken, Philippe Golle
GD
2006
Springer
15 years 1 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
JCT
2008
84views more  JCT 2008»
14 years 9 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
IWPEC
2004
Springer
15 years 3 months ago
Computing Small Search Numbers in Linear Time
Let G = V; E be a graph. The linear-width of G is de ned as the smallest integer k such that E can be arranged in a linear ordering e1; : : : ; er such that for every i = 1; :...
Hans L. Bodlaender, Dimitrios M. Thilikos
GD
2005
Springer
15 years 3 months ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood